Page 93 - Elementary_Linear_Algebra_with_Applications_Anton__9_edition
P. 93
(a) Interchange the first and third rows.
(b) Multiply the second row by .
(c) Add twice the second row to the first row.
Write the matrix
12.
as a product of elementary matrices.
Note There is more than one correct solution.
Let
13.
(a) Find elementary matrices , , and such that .
(b) Write A as a product of elementary matrices.
Express the matrix
14.
in the form , where E, F, and G are elementary matrices and R is in row-echelon form.
Show that if
15.
is an elementary matrix, then at least one entry in the third row must be a zero.
Show that
16.
is not invertible for any values of the entries.
Prove that if A is an matrix, there is an invertible matrix C such that is in reduced row-echelon form.
17.
